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gregori [183]
3 years ago
12

KN is perpendicular bisector of MQ identify the value of x

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6

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Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
2 years ago
(219,379.01 - x) / x = .3321
Ivahew [28]

Answer:x = 164686.592598

Step-by-step explanation:

219379.01−x/x = 0.3321

−x+219379.01/x = 0.3321

Step 1: Multiply both sides by x.

−x+219379.01≈0.3321x

−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)

−1.3321x + 219379.01 = 0

−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)

−1.3321x = −219379.01

−1.3321x/−1.3321 = −219379.01/−1.3321

(Divide both sides by -1.3321)

x = 164686.592598

6 0
2 years ago
Read 2 more answers
A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.
Darina [25.2K]
V=hpir^2

tricky, they didn't give us radius
they just gave circiufmerece

c=2pir
25.12=2pir
divide by 2 both sides
12.56=pir
divide by 3.14 both sides
4=r

subsitutet

v=hpir^2
v=66pi4^2
v=66pi16
v=1056pi
v=3315.84 cubic inches

4 0
3 years ago
How do you answer this step by step
leonid [27]
X/3 +4 = 5+x/6
6(x/3 +4 = 5+x/6)
2x+ 24 = 30 +x 
x= 6
3 0
2 years ago
State the value of the discriminant for <br><br>y = <img src="https://tex.z-dn.net/?f=5x%5E2%2B9x-3" id="TexFormula1" title="5x^
Nostrana [21]

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is b^2-4ac, which in this case is:

9^2-4(5)(-3)=81+60=141

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

3 0
3 years ago
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